Proof of Fermat and Huygens–Fresnel principle

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Fermat's principle of least time can be derived using the calculus of variations, leading to the eikonal equation. The eikonal equation is related to the Huygens–Fresnel principle, which describes wave propagation. Understanding the connection between these principles requires a grasp of both geometric optics and wave theory. The Huygens–Fresnel principle itself can be complex and may not have a straightforward derivation. Further exploration of these concepts is encouraged for a deeper understanding.
Nick Jackson
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Hey guys, I don't know if here is the right section for this question but anyway. So I was looking for the proof or derivation of the Fermat's principle and all I got was the Huygens–Fresnel principle. However, neither could I understand how the Huygens–Fresnel principle derives the Fermat's principle nor how one can derive or prove the Huygens–Fresnel principle.
Any help is welcome!
Thanks
 
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